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Last Updated :2024/12/30



Faculty of Science
Associate professor

Researcher information

■ Degree
  • 博士(理学), 首都大学東京
■ Research Keyword
  • 交差体
  • たたみ込み
  • Riesz potential
  • damped wave equation
  • convex polygon
  • Poisson's integral
  • dual volume
  • center
  • convex body
■ Field Of Study
  • Natural sciences, Mathematical analysis, Mathematical analysis
  • Natural sciences, Geometry, Geometry

Career

■ Career
  • 01 Apr. 2022
    Fukuoka University, Faculty of Science, Department of Applied Mathematics, Associate Professor
  • 01 Apr. 2019 - 31 Mar. 2022
    Fukuoka University, Faculty of Science, Department of Applied Mathematics, Lecturer
  • 01 Apr. 2016 - 31 Mar. 2019
    University of Miyazaki, Faculty of Education, Lecturer
  • 01 Nov. 2015 - 31 Mar. 2016
    University of Miyazaki, Faculty of Education and Culture, Lecturer
  • 01 Apr. 2014 - 31 Oct. 2015
    Waseda University, Global Education Center, Research Associate
■ Educational Background
  • 01 Apr. 2011 - 25 Mar. 2014
    Tokyo Metropolitan University, Department of Mathematics and Information Sciences
  • 01 Apr. 2009 - 25 Mar. 2011
    Tokyo Metropolitan University, Department of Mathematics and Information Sciences

Research activity information

■ Paper
  • An extremum problem for the power moment of a convex polygon contained in a disc
    Irmina Herburt; Shigehiro Sakata
    Advances in Geometry, 05 Oct. 2021, 21(4):599 - 609, Refereed
  • Analytic characterization of equilateral triangles
    Shigehiro Sakata
    Annali di Matematica Pura ed Applicata (1923-), Oct. 2021, 200:2191 - 2212, Refereed
  • Movement of time-delayed hot spots in Euclidean space for a degenerate initial state
    Shigehiro Sakata; Yuta Wakasugi
    Discrete and Continuous Dynamical Systems Series A, May 2020, 40(5):2705 - 2738, Refereed
  • Stationary radial centers and symmetry of convex polytopes
    Shigehiro Sakata
    Colloquium Mathematicum, Oct. 2019, 159:91 - 106, Refereed
  • Geometric Estimation of a Potential and Cone Conditions of a Body
    Shigehiro Sakata
    JOURNAL OF GEOMETRIC ANALYSIS, Jul. 2017, 27(3):2155 - 2189, Refereed
  • Every convex body has a unique illuminating center
    Shigehiro Sakata
    Journal of Geometry, 01 Jul. 2017, 108(2):655 - 662, Refereed
  • Movement of time-delayed hot spots in Euclidean space
    Shigehiro Sakata; Yuta Wakasugi
    MATHEMATISCHE ZEITSCHRIFT, Apr. 2017, 285(3-4):1007 - 1040, Refereed
  • Experimental investigation on the uniqueness of a center of a body
    Shigehiro Sakata
    Annales Polonici Mathematici, 2016, 118(2-3):149 - 171, Refereed
  • MOVEMENT OF CENTERS WITH RESPECT TO VARIOUS POTENTIALS
    Shigehiro Sakata
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Dec. 2015, 367(12):8347 - 8381, Refereed
  • Application of spaces of subspheres to conformal invariants of curves and canal surfaces
    Remi Langevin; Jun O'Hara; Shigehiro Sakata
    ANNALES POLONICI MATHEMATICI, 2013, 108(2):109 - 131, Refereed
  • Mathematical analysis on affine maps for 2D shape interpolation
    S. Kaji; S. Hirose; S. Sakata; Y. Mizoguchi; K. Anjyo
    Computer Animation 2012 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2012, 29 Jul. 2012, :71 - 76, Refereed
  • Extremal problems for the central projection
    Shigehiro Sakata
    Journal of Geometry, Apr. 2012, 103(1):125 - 129, Refereed
■ Lectures, oral presentations, etc.
  • たたみ込みの上への狭義べき凸性
    第144回日本数学会九州支部例会, 13 Feb. 2021
  • 距離核ポテンシャルの臨界点と正三角形の特徴づけ
    広島数理解析セミナー・冬の研究会2020, 31 Jan. 2020
  • 凸体のRieszポテンシャル, 中心, 切り口と影
    Geometry and Analysis Fukuoka 2019, 04 Nov. 2019
  • 距離核ポテンシャルの臨界点による正三角形の特徴づけ
    坂田繁洋
    第66回幾何学シンポジウム, 27 Aug. 2019
  • 凸多角形のモーメントの極値問題
    坂田繁洋
    福岡大学微分幾何セミナー, 25 Apr. 2019
  • Critical points of Riesz potential and characterization of regular triangles
    Shigehiro Sakata
    Seminarium "Geometria Przestrzeni Banach", 02 Dec. 2018
  • Symmetry of a triangle and critical points of Riesz potential
    坂田繁洋
    首都大学東京幾何学セミナー, 16 Mar. 2018
  • 関数の最大点と凸体の対称性
    坂田繁洋
    第64回幾何学シンポジウム, 28 Aug. 2017
  • ポテンシャルの臨界点と凸多角形の対称性
    坂田繁洋
    幾何セミナー(熊本), 03 Jul. 2017
  • Stationary radial centers of a body
    Shigehiro Sakata
    Geometry Seminar in Warsaw University of Technology, 27 Jan. 2017
■ Research Themes
  • 凸体の双対体積の幾何不等式とそれから導かれる凸体の演算の性質
    若手研究
    01 Apr. 2020 - 31 Mar. 2024
  • 凸体の輻射中心を用いた交差体の凸性の研究
    若手研究(B)
    01 Apr. 2017 - 31 Mar. 2022
  • 凸体の中心と双対体積の幾何不等式
    日本学術振興会, 海外特別研究員
    01 Sep. 2018 - 02 Mar. 2019
  • Poisson積分の最大点と体の形状
    研究活動スタート支援
    29 Aug. 2014 - 31 Mar. 2016
■ Others
  • 幾何学阿蘇研究集会

    01 Sep. 2019 - 01 Sep. 2019
  • 数学と現象:Mathematics and Phenomena in Miyazaki 2017

    17 Nov. 2017 - 17 Nov. 2017
  • 幾何学阿蘇研究集会

    26 Sep. 2017 - 26 Sep. 2017
  • 数学と現象:Mathematics and Phenomena in Miyazaki 2016

    18 Nov. 2016 - 18 Nov. 2016
  • 幾何学阿蘇研究集会

    09 Sep. 2016 - 09 Sep. 2016